Solve 15y=6*(5y-2/5)+1

$$15 y = 6 \cdot ( 5 y - \frac { 2 } { 5 } ) + 1$$

Solve for y

$$y=\frac{7}{75}\approx 0.093333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 5y-\frac{2}{5}.

$$15y=30y+6\left(-\frac{2}{5}\right)+1$$

Express 6\left(-\frac{2}{5}\right) as a single fraction.

$$15y=30y+\frac{6\left(-2\right)}{5}+1$$

Multiply 6 and -2 to get -12.

$$15y=30y+\frac{-12}{5}+1$$

Fraction \frac{-12}{5} can be rewritten as -\frac{12}{5} by extracting the negative sign.

$$15y=30y-\frac{12}{5}+1$$

Convert 1 to fraction \frac{5}{5}.

$$15y=30y-\frac{12}{5}+\frac{5}{5}$$

Since -\frac{12}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$15y=30y+\frac{-12+5}{5}$$

Add -12 and 5 to get -7.

$$15y=30y-\frac{7}{5}$$

Subtract 30y from both sides.

$$15y-30y=-\frac{7}{5}$$

Combine 15y and -30y to get -15y.

$$-15y=-\frac{7}{5}$$

Divide both sides by -15.

$$y=\frac{-\frac{7}{5}}{-15}$$

Express \frac{-\frac{7}{5}}{-15} as a single fraction.

$$y=\frac{-7}{5\left(-15\right)}$$

Multiply 5 and -15 to get -75.

$$y=\frac{-7}{-75}$$

Fraction \frac{-7}{-75} can be simplified to \frac{7}{75} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{7}{75}$$